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Finding the Fourth Proportional to 21,696.96, 32,545.98 and 6,114

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Solution

The fourth proportional to 21,696.96, 32,545.98 and 6,114 is: 9,171.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,696.96 : 32,545.98 = 6,114 : x
  2. Step 2: Convert to fraction form
    21,696.96/32,545.98 = 6,114/x
  3. Step 3: Cross multiply
    21,696.96x = 32,545.98 × 6,114
  4. Step 4: Simplify right side
    21,696.96x = 198,986,121.72
  5. Step 5: Solve for x
    x = 198,986,121.72/21,696.96
  6. Step 6: Final answer
    x = 9,171.15

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.